HMMM. I think it is important to recognize that all induction has risks, and that interfering with the process can, frankly, mess the process up. Being tired of being pregnant when you are only three days past due (which is not even past due, even all those little wheels are different and you can get two due dates three days apart just by using two different wheels) and wanting to avoid induction conversations is understandable, but I agree with Pamamidwife. Practice saying no. Find good support.
Encourage making an educated informed decision she can live with in all potential outcomes. As her friend, maybe you can watch her older kids (if she's got 'em) while she goes out with her partner (if she's got one) or just out by herself, or takes a nap, or you can cook her some good food, treat her to a pedicure or a massage, clean her house, anything to help alleviate her tiredness, stress, etc. Reframe her emotions. Help her with that emotional resolve bit.
Maybe she could post here! There is good support for overdue moms. I know. I am currently waiting at 42+ weeks. Oi.